title: Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations.
abstract: Magnetostatic Maxwell equations and the Landau-Lifshitz-Gilbert (LLG) equation are combined to a multiscale method, which allows to extend the problem size of traditional micromagnetic simulations. By means of magnetostatic Maxwell equations macroscopic regions can be handled in an averaged and stationary sense, whereas the LLG allows to accurately describe domain formation as well as magnetization dynamics in some microscopic subregions. The two regions are coupled by means of their strayfield and the combined system is solved by an optimized time integration scheme.
authors.affiliation: Vienna University of Technology, Institute of Solid State Physics, Austria.
authors.forename: Florian
authors.initials: F
authors.lastname: Bruckner
authors.forename: Christoph
authors.initials: C
authors.lastname: Vogler
authors.forename: Bernhard
authors.initials: B
authors.lastname: Bergmair
authors.forename: Thomas
authors.initials: T
authors.lastname: Huber
authors.forename: Markus
authors.initials: M
authors.lastname: Fuger
authors.forename: Dieter
authors.initials: D
authors.lastname: Suess
authors.forename: Michael
authors.initials: M
authors.lastname: Feischl
authors.forename: Thomas
authors.initials: T
authors.lastname: Fuehrer
authors.forename: Marcus
authors.initials: M
authors.lastname: Page
authors.forename: Dirk
authors.initials: D
authors.lastname: Praetorius
keywords: LLG; Magnetostatic Maxwell equation; Micromagnetism; Multiscale; Time integration